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Grade-5
Adding Fractions With Unlike Denominators - Word Problems
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Maria poured
1
7
of a gallon of milk into her cat's dish first thing in the morning. Later she poured another
3
10
of a gallon of milk into her cat's dish for dinner. How many gallons of milk did she give to her cat?
(Solve and reduce the fraction.)
Explanation
Remember, we cannot add fractions until the denominators are same. So, we have to find the least common denominator.
Least Common Denominator (LCD) of 7 and 10 is 70.
Now, we have to make sure both fractions have the same new denominator 70.
You can write fraction
1
7
as
1x10
7x10
=
10
70
You can write fraction
3
10
as
3x7
10x7
=
21
70
Now, both fractions have same denominator and we are ready to add
10
70
+
21
70
=
10+21
70
=
31
70
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